Automatic differentiation based discrete adjoint method for aerodynamic design optimization on unstructured meshes
暂无分享,去创建一个
[1] V. Schmitt,et al. Pressure distributions on the ONERA M6 wing at transonic Mach numbers , 1979 .
[2] A. Jameson,et al. Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes , 1981 .
[3] P. Gill,et al. Fortran package for nonlinear programming. User's Guide for NPSOL (Version 4. 0) , 1986 .
[4] Thomas W. Sederberg,et al. Free-form deformation of solid geometric models , 1986, SIGGRAPH.
[5] Antony Jameson,et al. Aerodynamic design via control theory , 1988, J. Sci. Comput..
[6] Barry Koren,et al. Defect correction and multigrid for an efficient and accurate computation of airfoil flows , 1988 .
[7] J. Batina. Unsteady Euler airfoil solutions using unstructured dynamic meshes , 1989 .
[8] P. Spalart. A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .
[9] W. K. Anderson,et al. Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation , 1997 .
[10] J. Peraire,et al. Practical Three-Dimensional Aerodynamic Design and Optimization Using Unstructured Meshes , 1997 .
[11] Jiri Blazek,et al. Accurate and Efficient Discretization of Navier-Stokes Equations on Mixed Grids , 2000 .
[12] Andreas Griewank,et al. Evaluating derivatives - principles and techniques of algorithmic differentiation, Second Edition , 2000, Frontiers in applied mathematics.
[13] Niles A. Pierce,et al. An Introduction to the Adjoint Approach to Design , 2000 .
[14] S. Obayashi,et al. Aerodynamic Optimization of Supersonic Transport Wing Using Unstructured Adjoint Method , 2001 .
[15] Joaquim R. R. A. Martins,et al. THE CONNECTION BETWEEN THE COMPLEX-STEP DERIVATIVE APPROXIMATION AND ALGORITHMIC DIFFERENTIATION , 2001 .
[16] W. K. Anderson,et al. Recent improvements in aerodynamic design optimization on unstructured meshes , 2001 .
[17] M. Giles,et al. Algorithm Developments for Discrete Adjoint Methods , 2003 .
[18] S. Nadarajah,et al. The discrete adjoint approach to aerodynamic shape optimization , 2003 .
[19] Joaquim R. R. A. Martins,et al. The complex-step derivative approximation , 2003, TOMS.
[20] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[21] D. Darmofal,et al. An implicit, exact dual adjoint solution method for turbulent flows on unstructured grids , 2004 .
[22] D. Ghate,et al. Using Automatic Differentiation for Adjoint CFD Code Development , 2005 .
[23] Zhi Yang,et al. Unstructured Dynamic Meshes with Higher-order Time Integration Schemes for the Unsteady Navier-Stokes Equations , 2005 .
[24] M. Berggren,et al. Adjoint of a median-dual finite-volume scheme : Application to transonic aerodynamic shape optimization , 2006 .
[25] Carlos Castro,et al. A Systematic Continuous Adjoint Approach to Viscous Aerodynamic Design on Unstructured Grids , 2006 .
[26] J. Alonso,et al. ADjoint: An Approach for the Rapid Development of Discrete Adjoint Solvers , 2006 .
[27] E. Nielsen,et al. Efficient Construction of Discrete Adjoint Operators on Unstructured Grids Using Complex Variables , 2005 .
[28] R. Dwight,et al. Effect of Approximations of the Discrete Adjoint on Gradient-Based Optimization , 2006 .
[29] D. Mavriplis. Discrete Adjoint-Based Approach for Optimization Problems on Three-Dimensional Unstructured Meshes , 2007 .
[30] R. Dwight,et al. Efficient and robust algorithms for solution of the adjoint compressible Navier–Stokes equations with applications , 2009 .
[31] Richard P. Dwight,et al. Robust Mesh Deformation using the Linear Elasticity Equations , 2009 .
[32] G. Carpentieri,et al. An adjoint-based shape-optimization method for aerodynamic design , 2009 .
[33] Kyriakos C. Giannakoglou,et al. Continuous adjoint approach to the Spalart–Allmaras turbulence model for incompressible flows , 2009 .
[34] Jens-Dominik Müller,et al. Pseudo-timestepping and verification for automatic differentiation derived CFD codes , 2011 .
[35] Boris Diskin,et al. A critical study of agglomerated multigrid methods for diffusion on highly-stretched grids , 2011 .
[36] Enrique Zuazua,et al. Continuous Adjoint Approach for the Spalart-Allmaras Model in Aerodynamic Optimization , 2011 .
[37] James C. Sutherland,et al. Graph-Based Software Design for Managing Complexity and Enabling Concurrency in Multiphysics PDE Software , 2011, TOMS.
[38] Cody A. Paige,et al. Automatic Differentiation Adjoint of the Reynolds-Averaged Navier-Stokes Equations with a Turbulence Model , 2013 .
[39] Takanori Hino,et al. Parallelization of an unstructured Navier-Stokes solver using a multi-color ordering method for OpenMP , 2013 .
[40] Maxwell Blair,et al. DNAD, a simple tool for automatic differentiation of Fortran codes using dual numbers , 2013, Comput. Phys. Commun..
[41] Laurent Hascoët,et al. The Tapenade automatic differentiation tool: Principles, model, and specification , 2013, TOMS.
[42] Arthur Stück,et al. An adjoint view on flux consistency and strong wall boundary conditions to the Navier-Stokes equations , 2015, J. Comput. Phys..
[43] Tim A. Albring,et al. Efficient Aerodynamic Design using the Discrete Adjoint Method in SU2 , 2016 .
[44] J. Alonso,et al. SU2: An Open-Source Suite for Multiphysics Simulation and Design , 2016 .
[45] Qiong Liu,et al. Instability and sensitivity analysis of flows using OpenFOAM , 2016 .
[46] Qiqi Wang,et al. Simultaneous single-step one-shot optimization with unsteady PDEs , 2015, J. Comput. Appl. Math..
[47] George N. Barakos,et al. Fully Implicit Discrete-Adjoint Methods for Rotorcraft Applications , 2016 .